question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Simplify ((t**1/(t/((t*(t/t**(-13))/t)/t)))/(t/t**(1/2)*t)**(1/2))**34 assuming t is positive.\n' | b't**(833/2)\n' | b'Simplify ((t**1/(t/((t*(t/t**(-13))/t)/t)))/(t/t**(1/2)*t)**(1/2))**34 assuming t is positive.\n' | b't**(833/2)\n' | deepmind/math_dataset |
b'Let x(h) = 5 + 69*h + 6 - 50*h + 0*h**2 - 3*h**2. Let i be (-11)/2 - (-3)/6. Let a(j) = -j**2 + 9*j + 5. Let c(s) = i*a(s) + 2*x(s). Give c(-6).\n' | b'3\n' | b'Let x(h) = 5 + 69*h + 6 - 50*h + 0*h**2 - 3*h**2. Let i be (-11)/2 - (-3)/6. Let a(j) = -j**2 + 9*j + 5. Let c(s) = i*a(s) + 2*x(s). Give c(-6).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify a*a**(-1)*a*a**(14/5)*a/((a**(2/5)/a)/a)*a*((a/a**(7/3))/a*a)/a assuming a is positive.\n' | b'a**(76/15)\n' | b'Simplify a*a**(-1)*a*a**(14/5)*a/((a**(2/5)/a)/a)*a*((a/a**(7/3))/a*a)/a assuming a is positive.\n' | b'a**(76/15)\n' | deepmind/math_dataset |
b'Let r = -101 + 171. What is the third derivative of -p**2 - r*p**5 + 70*p**5 - 4*p**6 wrt p?\n' | b'-480*p**3\n' | b'Let r = -101 + 171. What is the third derivative of -p**2 - r*p**5 + 70*p**5 - 4*p**6 wrt p?\n' | b'-480*p**3\n' | deepmind/math_dataset |
b'Suppose 3*t - 2 = t. Let k(v) = v**3 + v - 1. Let x(f) = -3*f**3 - 5*f + 4. Let w(a) = t*x(a) + 5*k(a). Find the first derivative of w(b) wrt b.\n' | b'6*b**2\n' | b'Suppose 3*t - 2 = t. Let k(v) = v**3 + v - 1. Let x(f) = -3*f**3 - 5*f + 4. Let w(a) = t*x(a) + 5*k(a). Find the first derivative of w(b) wrt b.\n' | b'6*b**2\n' | deepmind/math_dataset |
b'Suppose 5*c - 60 = -25. Suppose 5*m + 495 - 190 = 0. Let a = 64 + m. Solve -a*b - 2*d = 2*d - 19, -b + 2*d - c = 0 for b.\n' | b'1\n' | b'Suppose 5*c - 60 = -25. Suppose 5*m + 495 - 190 = 0. Let a = 64 + m. Solve -a*b - 2*d = 2*d - 19, -b + 2*d - c = 0 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aajj. What is prob of sequence ajj?\n' | b'1/6\n' | b'Three letters picked without replacement from aajj. What is prob of sequence ajj?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let z be -1 + -25 - (90 - 95). Let q(i) = i + 23. Determine q(z).\n' | b'2\n' | b'Let z be -1 + -25 - (90 - 95). Let q(i) = i + 23. Determine q(z).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (r/(r/r**(-2))*r)/(r/(r*r**(-2/25))*r)*r*r*r*r/(r*r/(r*r**(-2/9)))*(r*r**(2/19)*r)/r*r assuming r is positive.\n' | b'r**(11983/4275)\n' | b'Simplify (r/(r/r**(-2))*r)/(r/(r*r**(-2/25))*r)*r*r*r*r/(r*r/(r*r**(-2/9)))*(r*r**(2/19)*r)/r*r assuming r is positive.\n' | b'r**(11983/4275)\n' | deepmind/math_dataset |
b'Let g(m) = 6*m**2 - 1. Let b be g(-1). Let s be (-9)/(-4) + (-28)/(-16). Let v be 96/s + (-9 - (2 - 7)). Solve -6*n - v = b*w - n, -w + 4*n - 4 = 0 for w.\n' | b'-4\n' | b'Let g(m) = 6*m**2 - 1. Let b be g(-1). Let s be (-9)/(-4) + (-28)/(-16). Let v be 96/s + (-9 - (2 - 7)). Solve -6*n - v = b*w - n, -w + 4*n - 4 = 0 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = 4*h + 24, 2*n - 25*h = -24*h + 12. Let j(r) be the first derivative of -r**4/4 + 2*r**3/3 + 4*r + 1. Give j(n).\n' | b'-5\n' | b'Suppose 0 = 4*h + 24, 2*n - 25*h = -24*h + 12. Let j(r) be the first derivative of -r**4/4 + 2*r**3/3 + 4*r + 1. Give j(n).\n' | b'-5\n' | deepmind/math_dataset |
b'Let j(y) = -112*y + 129. Let r be 532/57*(-3)/4. Let a(m) = 224*m - 259. Let t(h) = r*j(h) - 4*a(h). What is the derivative of t(s) wrt s?\n' | b'-112\n' | b'Let j(y) = -112*y + 129. Let r be 532/57*(-3)/4. Let a(m) = 224*m - 259. Let t(h) = r*j(h) - 4*a(h). What is the derivative of t(s) wrt s?\n' | b'-112\n' | deepmind/math_dataset |
b'Let n = 2 - 5. Let k be (-2 - n - 1) + 2. What is the third derivative of -3*t**k + 0*t**2 + 4*t**6 - t**6 wrt t?\n' | b'360*t**3\n' | b'Let n = 2 - 5. Let k be (-2 - n - 1) + 2. What is the third derivative of -3*t**k + 0*t**2 + 4*t**6 - t**6 wrt t?\n' | b'360*t**3\n' | deepmind/math_dataset |
b'Let o(d) be the first derivative of -d**4/2 - 2*d**3 + d**2/2 + 2104. What is o(-3)?\n' | b'-3\n' | b'Let o(d) be the first derivative of -d**4/2 - 2*d**3 + d**2/2 + 2104. What is o(-3)?\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence kg when two letters picked without replacement from {t: 8, n: 2, u: 2, g: 1, k: 1}.\n' | b'1/182\n' | b'Calculate prob of sequence kg when two letters picked without replacement from {t: 8, n: 2, u: 2, g: 1, k: 1}.\n' | b'1/182\n' | deepmind/math_dataset |
b'Let k(b) be the third derivative of b**6/360 - b**5/24 - b**4/6 - 5*b**3/6 + 26*b**2. Let m(t) be the first derivative of k(t). Determine m(6).\n' | b'2\n' | b'Let k(b) be the third derivative of b**6/360 - b**5/24 - b**4/6 - 5*b**3/6 + 26*b**2. Let m(t) be the first derivative of k(t). Determine m(6).\n' | b'2\n' | deepmind/math_dataset |
b'Let o(w) = -5*w**2 + 12*w - 3. Let g(i) = 6*i**2 - 13*i + 4. Let d = -1 - -17. Let f be (-36)/d*16/6. Let r(v) = f*g(v) - 7*o(v). Determine r(-5).\n' | b'2\n' | b'Let o(w) = -5*w**2 + 12*w - 3. Let g(i) = 6*i**2 - 13*i + 4. Let d = -1 - -17. Let f be (-36)/d*16/6. Let r(v) = f*g(v) - 7*o(v). Determine r(-5).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence fpyo when four letters picked without replacement from {o: 2, f: 2, y: 3, j: 1, p: 11}?\n' | b'11/7752\n' | b'What is prob of sequence fpyo when four letters picked without replacement from {o: 2, f: 2, y: 3, j: 1, p: 11}?\n' | b'11/7752\n' | deepmind/math_dataset |
b'What is the third derivative of -18*u**5 - 36*u**4 + 23*u**5 - 315*u**2 - 10*u**4 wrt u?\n' | b'300*u**2 - 1104*u\n' | b'What is the third derivative of -18*u**5 - 36*u**4 + 23*u**5 - 315*u**2 - 10*u**4 wrt u?\n' | b'300*u**2 - 1104*u\n' | deepmind/math_dataset |
b'Let f(t) = 4*t - 141. Let b be f(36). Suppose 5*c - 2*s = 2, 3*s = -4*c + 7*s + 4. Solve 5*m + 5*o - 5 = c, -3*o - 12 = -b*m + 9 for m.\n' | b'4\n' | b'Let f(t) = 4*t - 141. Let b be f(36). Suppose 5*c - 2*s = 2, 3*s = -4*c + 7*s + 4. Solve 5*m + 5*o - 5 = c, -3*o - 12 = -b*m + 9 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, f: 2, z: 4, v: 2}. What is prob of picking 2 z and 1 v?\n' | b'1/7\n' | b'Three letters picked without replacement from {k: 1, f: 2, z: 4, v: 2}. What is prob of picking 2 z and 1 v?\n' | b'1/7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ngeeccqvq. What is prob of sequence vn?\n' | b'1/72\n' | b'Two letters picked without replacement from ngeeccqvq. What is prob of sequence vn?\n' | b'1/72\n' | deepmind/math_dataset |
b'Suppose -4*j - 175 = -11*j. Suppose -17*h + 12*h - j = 0. Let a(t) = t**2 + 5*t + 6. What is a(h)?\n' | b'6\n' | b'Suppose -4*j - 175 = -11*j. Suppose -17*h + 12*h - j = 0. Let a(t) = t**2 + 5*t + 6. What is a(h)?\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence lly when three letters picked without replacement from vlylwwf?\n' | b'1/105\n' | b'What is prob of sequence lly when three letters picked without replacement from vlylwwf?\n' | b'1/105\n' | deepmind/math_dataset |
b'Find the second derivative of -9*v**3 + 12*v + 16*v**3 - 19*v**3 wrt v.\n' | b'-72*v\n' | b'Find the second derivative of -9*v**3 + 12*v + 16*v**3 - 19*v**3 wrt v.\n' | b'-72*v\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ghghohohoo. Give prob of sequence hh.\n' | b'2/15\n' | b'Two letters picked without replacement from ghghohohoo. Give prob of sequence hh.\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify ((((r*r**8)/r**(-5))**(21/4))**45)**(-3/4) assuming r is positive.\n' | b'r**(-19845/8)\n' | b'Simplify ((((r*r**8)/r**(-5))**(21/4))**45)**(-3/4) assuming r is positive.\n' | b'r**(-19845/8)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, r: 1, d: 1, c: 1, x: 1}. Give prob of picking 1 i, 1 d, 1 x, and 1 c.\n' | b'1/5\n' | b'Four letters picked without replacement from {i: 1, r: 1, d: 1, c: 1, x: 1}. Give prob of picking 1 i, 1 d, 1 x, and 1 c.\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bwbwbbwwnbwbb. Give prob of picking 2 b.\n' | b'7/26\n' | b'Two letters picked without replacement from bwbwbbwwnbwbb. Give prob of picking 2 b.\n' | b'7/26\n' | deepmind/math_dataset |
b'Three letters picked without replacement from osgbggggbboogb. Give prob of sequence bgb.\n' | b'3/91\n' | b'Three letters picked without replacement from osgbggggbboogb. Give prob of sequence bgb.\n' | b'3/91\n' | deepmind/math_dataset |
b'Let z be -1 + (-2 - 6/(-3)). Let k(m) = 9*m - 3. Let c(o) = -1. Let d(u) = z*k(u) - 4*c(u). Let t(s) = -14*s + 11. Let w(h) = 8*d(h) - 5*t(h). Give w(-3).\n' | b'7\n' | b'Let z be -1 + (-2 - 6/(-3)). Let k(m) = 9*m - 3. Let c(o) = -1. Let d(u) = z*k(u) - 4*c(u). Let t(s) = -14*s + 11. Let w(h) = 8*d(h) - 5*t(h). Give w(-3).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence totp when four letters picked without replacement from opgppttttpqptp.\n' | b'5/1001\n' | b'Calculate prob of sequence totp when four letters picked without replacement from opgppttttpqptp.\n' | b'5/1001\n' | deepmind/math_dataset |
b'Let n(l) = -l**2 - 6*l + 5. Let y = 11 - 17. Let v be n(y). Suppose 2*x - 15 = -r, 4*r + x - 43 = 3. Solve -v*m - 5*f - r = 19, -2*m = -f for m.\n' | b'-2\n' | b'Let n(l) = -l**2 - 6*l + 5. Let y = 11 - 17. Let v be n(y). Suppose 2*x - 15 = -r, 4*r + x - 43 = 3. Solve -v*m - 5*f - r = 19, -2*m = -f for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((k*k**(-4/7))/k)**(1/81) assuming k is positive.\n' | b'k**(-4/567)\n' | b'Simplify ((k*k**(-4/7))/k)**(1/81) assuming k is positive.\n' | b'k**(-4/567)\n' | deepmind/math_dataset |
b'Let l(v) = -v + 12. Let k be l(10). Suppose -3*d = k*d. Solve -4 = b - y - d*y, 2*b + 14 = 4*y for b.\n' | b'-1\n' | b'Let l(v) = -v + 12. Let k be l(10). Suppose -3*d = k*d. Solve -4 = b - y - d*y, 2*b + 14 = 4*y for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a be (0 - -2) + 0 + 2. Let t(u) be the first derivative of u**4/4 - u**3 - 7*u**2/2 + 6*u - 2. Calculate t(a).\n' | b'-6\n' | b'Let a be (0 - -2) + 0 + 2. Let t(u) be the first derivative of u**4/4 - u**3 - 7*u**2/2 + 6*u - 2. Calculate t(a).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjjjwjjfjwfwwf. Give prob of picking 2 j and 2 w.\n' | b'18/143\n' | b'Four letters picked without replacement from jjjjwjjfjwfwwf. Give prob of picking 2 j and 2 w.\n' | b'18/143\n' | deepmind/math_dataset |
b'Suppose 0*s - 80 = -4*s. Let v = 33 - s. Let f = v - 13. Solve i + 25 = 4*l, f = -l - 3*l + 20 for i.\n' | b'-5\n' | b'Suppose 0*s - 80 = -4*s. Let v = 33 - s. Let f = v - 13. Solve i + 25 = 4*l, f = -l - 3*l + 20 for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Let y(l) be the third derivative of -l**6/6 + 29*l**5/15 - 1865*l**3/6 + 76*l**2 + 9*l - 1. Differentiate y(c) with respect to c.\n' | b'-60*c**2 + 232*c\n' | b'Let y(l) be the third derivative of -l**6/6 + 29*l**5/15 - 1865*l**3/6 + 76*l**2 + 9*l - 1. Differentiate y(c) with respect to c.\n' | b'-60*c**2 + 232*c\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, y: 1, r: 1, g: 1, n: 1}. What is prob of sequence nby?\n' | b'1/60\n' | b'Three letters picked without replacement from {b: 1, y: 1, r: 1, g: 1, n: 1}. What is prob of sequence nby?\n' | b'1/60\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 4}. Give prob of sequence xxxx.\n' | b'1\n' | b'Four letters picked without replacement from {x: 4}. Give prob of sequence xxxx.\n' | b'1\n' | deepmind/math_dataset |
b'Let z(u) = -4*u**3 - 50*u**2 + 6*u. Let l(x) = x**2 - x. Let c(m) = -6*l(m) - z(m). Let a be c(-11). Solve -h = 2*g - 5, 0 = -a*h - 3*h - 9 for g.\n' | b'4\n' | b'Let z(u) = -4*u**3 - 50*u**2 + 6*u. Let l(x) = x**2 - x. Let c(m) = -6*l(m) - z(m). Let a be c(-11). Solve -h = 2*g - 5, 0 = -a*h - 3*h - 9 for g.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 4, m: 10, i: 5}. What is prob of sequence mi?\n' | b'25/171\n' | b'Two letters picked without replacement from {z: 4, m: 10, i: 5}. What is prob of sequence mi?\n' | b'25/171\n' | deepmind/math_dataset |
b'Four letters picked without replacement from llmtollttlcclm. Give prob of picking 1 o, 1 m, 1 t, and 1 c.\n' | b'12/1001\n' | b'Four letters picked without replacement from llmtollttlcclm. Give prob of picking 1 o, 1 m, 1 t, and 1 c.\n' | b'12/1001\n' | deepmind/math_dataset |
b'Calculate prob of sequence qq when two letters picked without replacement from {a: 4, q: 2, b: 7}.\n' | b'1/78\n' | b'Calculate prob of sequence qq when two letters picked without replacement from {a: 4, q: 2, b: 7}.\n' | b'1/78\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 6, c: 12}. What is prob of sequence icii?\n' | b'1/51\n' | b'Four letters picked without replacement from {i: 6, c: 12}. What is prob of sequence icii?\n' | b'1/51\n' | deepmind/math_dataset |
b'Simplify ((p**(-2/7))**(-48)/(((p/(p*(p**(-2/7)*p)/p))/p)/p*p*p/(p*p*p**(-7)*p)*p))/((p/(p**3*p*p))**37)**48 assuming p is positive.\n' | b'p**(49787/7)\n' | b'Simplify ((p**(-2/7))**(-48)/(((p/(p*(p**(-2/7)*p)/p))/p)/p*p*p/(p*p*p**(-7)*p)*p))/((p/(p**3*p*p))**37)**48 assuming p is positive.\n' | b'p**(49787/7)\n' | deepmind/math_dataset |
b'Let s(u) = 5 - 22*u + 878*u**3 + 91*u - 869*u**3. Let j(i) = -5*i**3 - 34*i - 2. Let x(d) = -10*j(d) - 4*s(d). Find the second derivative of x(p) wrt p.\n' | b'84*p\n' | b'Let s(u) = 5 - 22*u + 878*u**3 + 91*u - 869*u**3. Let j(i) = -5*i**3 - 34*i - 2. Let x(d) = -10*j(d) - 4*s(d). Find the second derivative of x(p) wrt p.\n' | b'84*p\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ekkebors. What is prob of picking 2 e and 1 r?\n' | b'1/56\n' | b'Three letters picked without replacement from ekkebors. What is prob of picking 2 e and 1 r?\n' | b'1/56\n' | deepmind/math_dataset |
b'Let i(f) be the second derivative of -13*f - 1/20*f**5 + 19/6*f**3 + 1/2*f**4 - 19/2*f**2 - 1. Let d be i(8). Solve 0 = d*k + 3*y - 25, -8 = -k - 3*y + 9 for k.\n' | b'2\n' | b'Let i(f) be the second derivative of -13*f - 1/20*f**5 + 19/6*f**3 + 1/2*f**4 - 19/2*f**2 - 1. Let d be i(8). Solve 0 = d*k + 3*y - 25, -8 = -k - 3*y + 9 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddh when three letters picked without replacement from {d: 6, a: 5, h: 4, r: 1, e: 3, s: 1}.\n' | b'1/57\n' | b'Calculate prob of sequence ddh when three letters picked without replacement from {d: 6, a: 5, h: 4, r: 1, e: 3, s: 1}.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let p(u) = u**3 + u**2 + 8*u + 3*u**2 - 32 + 4*u**2 + 40. Let b be p(-7). Let a(w) = -4*w**2 + 1. Give a(b).\n' | b'-3\n' | b'Let p(u) = u**3 + u**2 + 8*u + 3*u**2 - 32 + 4*u**2 + 40. Let b be p(-7). Let a(w) = -4*w**2 + 1. Give a(b).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 q when two letters picked without replacement from bicqxdbx?\n' | b'1/28\n' | b'What is prob of picking 1 d and 1 q when two letters picked without replacement from bicqxdbx?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let w = 670 - 671. Let p(z) = -4*z**3 + z + 2. Give p(w).\n' | b'5\n' | b'Let w = 670 - 671. Let p(z) = -4*z**3 + z + 2. Give p(w).\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bfffbvbbbv. What is prob of picking 1 f, 1 v, and 1 b?\n' | b'1/4\n' | b'Three letters picked without replacement from bfffbvbbbv. What is prob of picking 1 f, 1 v, and 1 b?\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify o/((o/o**(-2/33))/o)*(o**(-1/60)/o)/o assuming o is positive.\n' | b'o**(-237/220)\n' | b'Simplify o/((o/o**(-2/33))/o)*(o**(-1/60)/o)/o assuming o is positive.\n' | b'o**(-237/220)\n' | deepmind/math_dataset |
b'Let u(t) be the first derivative of 2*t**2 + t - 1. Suppose -57 = m + 2*n + 3*n, -2*n + 22 = -m. Let q be ((-2)/3)/(m/(-48)). Give u(q).\n' | b'-3\n' | b'Let u(t) be the first derivative of 2*t**2 + t - 1. Suppose -57 = m + 2*n + 3*n, -2*n + 22 = -m. Let q be ((-2)/3)/(m/(-48)). Give u(q).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence fo when two letters picked without replacement from iiioocooioiocofoci?\n' | b'4/153\n' | b'What is prob of sequence fo when two letters picked without replacement from iiioocooioiocofoci?\n' | b'4/153\n' | deepmind/math_dataset |
b'Suppose -3*u - 9*k + 18 = -12*k, 0 = -2*k - 6. Suppose -3*z + 13*a = 12*a - 10, 0 = -z - u*a. Solve 0*h - 3*v - z = -h, h + v - 3 = 0 for h.\n' | b'3\n' | b'Suppose -3*u - 9*k + 18 = -12*k, 0 = -2*k - 6. Suppose -3*z + 13*a = 12*a - 10, 0 = -z - u*a. Solve 0*h - 3*v - z = -h, h + v - 3 = 0 for h.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from yyyeyeyyeeeeeyyyee?\n' | b'4/17\n' | b'What is prob of sequence ee when two letters picked without replacement from yyyeyeyyeeeeeyyyee?\n' | b'4/17\n' | deepmind/math_dataset |
b'Let v = -67 + 69. What is the third derivative of 11*x**v - 15*x**6 + 7*x**3 - 9*x**3 - 4*x**4 + 4*x**4 wrt x?\n' | b'-1800*x**3 - 12\n' | b'Let v = -67 + 69. What is the third derivative of 11*x**v - 15*x**6 + 7*x**3 - 9*x**3 - 4*x**4 + 4*x**4 wrt x?\n' | b'-1800*x**3 - 12\n' | deepmind/math_dataset |
b'Let m(o) = -2*o + 12. Let s be m(4). What is the third derivative of -103*t**s - 40*t + 14*t**2 + 16*t**2 - 28*t**2 wrt t?\n' | b'-2472*t\n' | b'Let m(o) = -2*o + 12. Let s be m(4). What is the third derivative of -103*t**s - 40*t + 14*t**2 + 16*t**2 - 28*t**2 wrt t?\n' | b'-2472*t\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eezjjajjeez. What is prob of picking 1 e and 2 z?\n' | b'4/165\n' | b'Three letters picked without replacement from eezjjajjeez. What is prob of picking 1 e and 2 z?\n' | b'4/165\n' | deepmind/math_dataset |
b'Let k(a) be the third derivative of a**5/20 + a**4/6 + a**3/3 + 371*a**2. Suppose -2*h + 7*h + 10 = 0. What is k(h)?\n' | b'6\n' | b'Let k(a) be the third derivative of a**5/20 + a**4/6 + a**3/3 + 371*a**2. Suppose -2*h + 7*h + 10 = 0. What is k(h)?\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kvvvkkkvkxvaxakvvvv. What is prob of picking 1 k and 2 x?\n' | b'2/323\n' | b'Three letters picked without replacement from kvvvkkkvkxvaxakvvvv. What is prob of picking 1 k and 2 x?\n' | b'2/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 3, t: 1, v: 2, l: 5, j: 1}. What is prob of picking 2 l and 1 j?\n' | b'1/22\n' | b'Three letters picked without replacement from {a: 3, t: 1, v: 2, l: 5, j: 1}. What is prob of picking 2 l and 1 j?\n' | b'1/22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from awwaaqqw. Give prob of sequence ww.\n' | b'3/28\n' | b'Two letters picked without replacement from awwaaqqw. Give prob of sequence ww.\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify ((p**(-3)*p/(p**8/p*p)*p)/((p**(-4)/p)/(p**4/p)))/(((p/p**(2/7))/(p*p**(4/7)*p))/(((p*p/p**(-5/7))/p)/p**(2/9))) assuming p is positive.\n' | b'p**(148/63)\n' | b'Simplify ((p**(-3)*p/(p**8/p*p)*p)/((p**(-4)/p)/(p**4/p)))/(((p/p**(2/7))/(p*p**(4/7)*p))/(((p*p/p**(-5/7))/p)/p**(2/9))) assuming p is positive.\n' | b'p**(148/63)\n' | deepmind/math_dataset |
b'Let v(h) be the third derivative of -2*h**5/15 - 83*h**4/12 + 2*h**2 - 11. Find the second derivative of v(x) wrt x.\n' | b'-16\n' | b'Let v(h) be the third derivative of -2*h**5/15 - 83*h**4/12 + 2*h**2 - 11. Find the second derivative of v(x) wrt x.\n' | b'-16\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 2, b: 1, i: 4}. Give prob of sequence iigg.\n' | b'1/35\n' | b'Four letters picked without replacement from {g: 2, b: 1, i: 4}. Give prob of sequence iigg.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose v - 20 = -2*c, -3*c - v = -5*c + 28. Let z(n) = n - 9. Let b be z(c). Solve 0 = 4*m - 3*u, -m - u - b*u = 0 for m.\n' | b'0\n' | b'Suppose v - 20 = -2*c, -3*c - v = -5*c + 28. Let z(n) = n - 9. Let b be z(c). Solve 0 = 4*m - 3*u, -m - u - b*u = 0 for m.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 2, b: 18}. What is prob of picking 2 b?\n' | b'153/190\n' | b'Two letters picked without replacement from {h: 2, b: 18}. What is prob of picking 2 b?\n' | b'153/190\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from fpffppffffffffffff.\n' | b'1/51\n' | b'Calculate prob of sequence pp when two letters picked without replacement from fpffppffffffffffff.\n' | b'1/51\n' | deepmind/math_dataset |
b'Suppose -2*w + 21 = w + 3*l, 0 = 4*l - 8. Find the third derivative of -w*t**6 - 9 + 4 + 5*t**2 + 5 wrt t.\n' | b'-600*t**3\n' | b'Suppose -2*w + 21 = w + 3*l, 0 = 4*l - 8. Find the third derivative of -w*t**6 - 9 + 4 + 5*t**2 + 5 wrt t.\n' | b'-600*t**3\n' | deepmind/math_dataset |
b'Simplify (n**(-1/16)*n**5)**45/(n*n/(n*n/(n**8/n))*n*n**(-3)*n*n**(-2/3)*n**(-8)) assuming n is positive.\n' | b'n**(10793/48)\n' | b'Simplify (n**(-1/16)*n**5)**45/(n*n/(n*n/(n**8/n))*n*n**(-3)*n*n**(-2/3)*n**(-8)) assuming n is positive.\n' | b'n**(10793/48)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 7, a: 3, l: 8}. Give prob of picking 2 l.\n' | b'28/153\n' | b'Two letters picked without replacement from {f: 7, a: 3, l: 8}. Give prob of picking 2 l.\n' | b'28/153\n' | deepmind/math_dataset |
b'Let v be 2 + 1/(-1) - -39. Suppose 3*o = -2*o + v. Let d = 13 - 9. Solve -6 = -3*n + 4*w - 0*w, d*n - 5*w - o = 0 for n.\n' | b'2\n' | b'Let v be 2 + 1/(-1) - -39. Suppose 3*o = -2*o + v. Let d = 13 - 9. Solve -6 = -3*n + 4*w - 0*w, d*n - 5*w - o = 0 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 21*o = 17*o + 5*g + 4, -4*g + 40 = 4*o. Let l = 8 - 6. Solve s - o = n + l*n, -4*s = 0 for n.\n' | b'-2\n' | b'Suppose 21*o = 17*o + 5*g + 4, -4*g + 40 = 4*o. Let l = 8 - 6. Solve s - o = n + l*n, -4*s = 0 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(r) be the second derivative of 5867*r**5/20 - 1571*r**4/6 - 18*r + 9. Find the third derivative of s(b) wrt b.\n' | b'35202\n' | b'Let s(r) be the second derivative of 5867*r**5/20 - 1571*r**4/6 - 18*r + 9. Find the third derivative of s(b) wrt b.\n' | b'35202\n' | deepmind/math_dataset |
b'Let t(g) = 49*g - 731. Let k be t(15). Solve 5*i + 4*u = 0, -k*u + 18 - 38 = 0 for i.\n' | b'4\n' | b'Let t(g) = 49*g - 731. Let k be t(15). Solve 5*i + 4*u = 0, -k*u + 18 - 38 = 0 for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let y(w) = 3*w**2 - 6*w - 2. Let k be y(5). Suppose -4*z = -5*a - 72, 3*a + k = 2*z - 1. Let i = -14 - a. Solve -3*c - 2*n = 4 - 1, -4 = 4*c - i*n for c.\n' | b'-1\n' | b'Let y(w) = 3*w**2 - 6*w - 2. Let k be y(5). Suppose -4*z = -5*a - 72, 3*a + k = 2*z - 1. Let i = -14 - a. Solve -3*c - 2*n = 4 - 1, -4 = 4*c - i*n for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((w*(w/w**1)/w)/w)**(-29)/(w**3)**31 assuming w is positive.\n' | b'w**(-64)\n' | b'Simplify ((w*(w/w**1)/w)/w)**(-29)/(w**3)**31 assuming w is positive.\n' | b'w**(-64)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 3, n: 8, x: 2, j: 4}. Give prob of picking 1 j, 1 g, and 2 x.\n' | b'3/595\n' | b'Four letters picked without replacement from {g: 3, n: 8, x: 2, j: 4}. Give prob of picking 1 j, 1 g, and 2 x.\n' | b'3/595\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, i: 2, y: 2, d: 6}. Give prob of picking 1 d and 1 z.\n' | b'2/11\n' | b'Two letters picked without replacement from {z: 2, i: 2, y: 2, d: 6}. Give prob of picking 1 d and 1 z.\n' | b'2/11\n' | deepmind/math_dataset |
b'Let j(r) = r. Let f(h) = 2*h**2 + 37*h - 23. Let m be f(-19). Give j(m).\n' | b'-4\n' | b'Let j(r) = r. Let f(h) = 2*h**2 + 37*h - 23. Let m be f(-19). Give j(m).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (x**9)**20/(x**(-13)*x**(-8/9)) assuming x is positive.\n' | b'x**(1745/9)\n' | b'Simplify (x**9)**20/(x**(-13)*x**(-8/9)) assuming x is positive.\n' | b'x**(1745/9)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yjnjnjm. What is prob of sequence jjm?\n' | b'1/35\n' | b'Three letters picked without replacement from yjnjnjm. What is prob of sequence jjm?\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of sequence ot when two letters picked without replacement from otkffzzozoz?\n' | b'3/110\n' | b'What is prob of sequence ot when two letters picked without replacement from otkffzzozoz?\n' | b'3/110\n' | deepmind/math_dataset |
b'Let y = 17 + -14. Suppose -2*k - n + y - 1 = 0, -5*n - 14 = -2*k. Find the third derivative of k*l**3 - 12*l**2 + 24 - 24 wrt l.\n' | b'12\n' | b'Let y = 17 + -14. Suppose -2*k - n + y - 1 = 0, -5*n - 14 = -2*k. Find the third derivative of k*l**3 - 12*l**2 + 24 - 24 wrt l.\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 b when two letters picked without replacement from sbyasbnza?\n' | b'1/18\n' | b'What is prob of picking 1 n and 1 b when two letters picked without replacement from sbyasbnza?\n' | b'1/18\n' | deepmind/math_dataset |
b'Suppose 14 = -2*b - 3*j, -2*b - 6 = 4*j - 5*j. Let i be (4 + b + -1)*-2. What is the first derivative of -12*f**i + 25*f**2 - 12 + 23*f**3 - 13*f**2 wrt f?\n' | b'69*f**2\n' | b'Suppose 14 = -2*b - 3*j, -2*b - 6 = 4*j - 5*j. Let i be (4 + b + -1)*-2. What is the first derivative of -12*f**i + 25*f**2 - 12 + 23*f**3 - 13*f**2 wrt f?\n' | b'69*f**2\n' | deepmind/math_dataset |
b'Simplify (p/((p*p/p**25*p)/p))/p*p*p**(1/4)*p*(p*p**(1/14)*p)**(-1/36) assuming p is positive.\n' | b'p**(12697/504)\n' | b'Simplify (p/((p*p/p**25*p)/p))/p*p*p**(1/4)*p*(p*p**(1/14)*p)**(-1/36) assuming p is positive.\n' | b'p**(12697/504)\n' | deepmind/math_dataset |
b'Simplify (u/u**(-23)*u*u/u**(3/4))**(-1/16) assuming u is positive.\n' | b'u**(-101/64)\n' | b'Simplify (u/u**(-23)*u*u/u**(3/4))**(-1/16) assuming u is positive.\n' | b'u**(-101/64)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjlbbbbbbjjbj. Give prob of picking 1 l and 1 b.\n' | b'7/78\n' | b'Two letters picked without replacement from jjlbbbbbbjjbj. Give prob of picking 1 l and 1 b.\n' | b'7/78\n' | deepmind/math_dataset |
b'Let x(y) = -43*y**3 + 26*y**2 + 33*y + 41. Let f(b) = 9*b**3 - 5*b**2 - 7*b - 8. Let n(d) = -19*f(d) - 4*x(d). Determine n(9).\n' | b'-3\n' | b'Let x(y) = -43*y**3 + 26*y**2 + 33*y + 41. Let f(b) = 9*b**3 - 5*b**2 - 7*b - 8. Let n(d) = -19*f(d) - 4*x(d). Determine n(9).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llllllllglllgg. Give prob of picking 3 l.\n' | b'165/364\n' | b'Three letters picked without replacement from llllllllglllgg. Give prob of picking 3 l.\n' | b'165/364\n' | deepmind/math_dataset |
b'Let l be 1/(-1 + 1*(-15)/(-10)). Solve 2*j - 2*w + 12 = 0, -4*j = -j + w + l for j.\n' | b'-2\n' | b'Let l be 1/(-1 + 1*(-15)/(-10)). Solve 2*j - 2*w + 12 = 0, -4*j = -j + w + l for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 3, t: 8}. Give prob of sequence zttt.\n' | b'7/55\n' | b'Four letters picked without replacement from {z: 3, t: 8}. Give prob of sequence zttt.\n' | b'7/55\n' | deepmind/math_dataset |
b'Let m(l) = l**2 - 6*l + 3. Let o be (-3)/(-2)*84/9. Let q = -13 + o. Let h be (q/2)/((-1)/(-12)). Give m(h).\n' | b'3\n' | b'Let m(l) = l**2 - 6*l + 3. Let o be (-3)/(-2)*84/9. Let q = -13 + o. Let h be (q/2)/((-1)/(-12)). Give m(h).\n' | b'3\n' | deepmind/math_dataset |
b'Let o be (-15 - -28) + (-2)/2. Solve -j + 6 = 5*v, -3*j = -4*j + 4*v - o for j.\n' | b'-4\n' | b'Let o be (-15 - -28) + (-2)/2. Solve -j + 6 = 5*v, -3*j = -4*j + 4*v - o for j.\n' | b'-4\n' | deepmind/math_dataset |
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